Finding the Third Proportional to 5,647.50 and 12,251.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,647.50 : 12,251.25 = 12,251.25 : x
2. Step 2: Convert to fraction form
   5,647.50/12,251.25 = 12,251.25/x
3. Step 3: Cross multiply
   5,647.50x = 12,251.25 × 12,251.25
4. Step 4: Simplify right side
   5,647.50x = 150,093,126.56
5. Step 5: Solve for x
   x = 150,093,126.56/5,647.50
6. Step 6: Final answer
   x = 26,576.91